Question

Batsman A, B , C and D played three matches . Calculate the average runs scored by each batsman.
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Name of batsman	Match I		Match II		Match III
	I	II	I	II	I	II
	Inning	Inning	Inning	Inning	Inning	Inning
A	60	20	26	10	100	40
B	40	50	60	36	70	80
C	100	10	8	18	100	140
D	20	40	46	84	42	52

Answer 1

The data given for the marks scored by the batsmen in different innings can be summarised as follows.

Inning	Score by batsman A (XA)	Score by batsman B (XB)	Score by batsman C (XC)	Score by batsman D (XD)
1 2 3 4 5 6	60 20 26 10 100 40	40 50 60 36 70 80	100 10 8 18 100 140	20 40 46 84 42 52
	ΣXA = 256	ΣXB = 336	ΣXC = 376	ΣXD = 284

$$\begin{gathered} {\overline{X}}_A=\frac{\Sigma X_{\mathrm{A}}}{N}=\frac{256}{6}=42.67 \\ {\overline{\mathit{X}}}_{\mathrm{B}}=\frac{\Sigma X_{\mathrm{B}}}{N}=\frac{336}{6}=56 \\ {\overline{X}}_{\mathrm{C}}=\frac{\Sigma X_{\mathrm{C}}}{N}=\frac{376}{6}=62.67 \\ {\overline{X}}_{\mathrm{D}}=\frac{\Sigma X_{\mathrm{D}}}{N}=\frac{284}{6}=47.33 \end{gathered}$$